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Finding the Fourth Proportional to 565,509.16, 780,382.85 and 310,858.53

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Solution

The fourth proportional to 565,509.16, 780,382.85 and 310,858.53 is: 428,973.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,509.16 : 780,382.85 = 310,858.53 : x
  2. Step 2: Convert to fraction form
    565,509.16/780,382.85 = 310,858.53/x
  3. Step 3: Cross multiply
    565,509.16x = 780,382.85 × 310,858.53
  4. Step 4: Simplify right side
    565,509.16x = 242,588,665,588.21
  5. Step 5: Solve for x
    x = 242,588,665,588.21/565,509.16
  6. Step 6: Final answer
    x = 428,973.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.